!!!!!!Please help ASAP!!!!!
AB and BC form a right angle at their point of intersection, B. If the coordinates of A and Bare (14, -1) and (2, 1), respectively, the y-intercept of AB is 4/3 and the equation of BC is y= 6 X + If the y-coordinate of point Cis 13, its x-coordinate is
Answers
Answer:
Step-by-step explanation:
Segments AB and BC intersect each other at 90° at B.
Let the equation of the segment AB → y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the line AB passing through A(14, -1) and B(2, 1)
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{1+1}{2-14}[/tex]
= [tex]-\frac{2}{12}[/tex]
= [tex]-\frac{1}{6}[/tex]
Equation of the line will be,
[tex]y=-\frac{1}{6}(x)+b[/tex]
Since, AB passes through (2, 1)
[tex]1=-\frac{1}{6}(2)+b[/tex]
[tex]b=1+\frac{1}{3}[/tex]
[tex]b=\frac{4}{3}[/tex]
Therefore, y-intercept of AB = [tex]\frac{4}{3}[/tex]
Equation of AB → [tex]y=-\frac{1}{6}(x)+\frac{4}{3}[/tex]
Since, line BC is perpendicular to AB,
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
Here, [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of line AB and BC respectively.
By this property,
[tex]-\frac{1}{6}\times m_2=-1[/tex]
[tex]m_2=6[/tex]
Equation of a line passing through a point (h, k) and slope 'm' is,
(y - k) = m(x - h)
Therefore, equation of line BC passing through B(2, 1) and slope = 6,
y - 1 = 6(x - 2)
y = 6x - 11
Since, line BC passes through C(x, 13),
13 = 6x - 11
6x = 24
x = 4
Therefore, x-coordinate of point C will be, x = 4
Related Questions
Topic Test
Find the coordinates of PQ with endpoints P(2, -4) and Q(4, 2) under the translation left 3 units and up 4 units.
a. P'(-2, -4) and Q'(-4, -2)
b. P'(-1, 0) and Q'(1, 6)
c. P'(5, -1) and Q'(-2, -2)
d. P'(0, -7) and Q'(1, -1)
Please select the best answer from the choices provided
Answers
Answer:
B. P'(-1, 0) and Q'(1, 6)
Step-by-step explanation:
Please select the best answer from the choices provided
Answer:
The answer is A. P'(-2, -4) and Q'(-4, -2)
Step-by-step explanation:
OMG, I just did the Topic Test for Math on Edge earlier today! Good luck on it!
find the simple interest on 10000 from 1 July to 12 september 2007 at 5% per year calculate the interest
Answers
Answer:
Simple interest: 83.33, Final amount: 10083.33
Step-by-step explanation:
you dont get a explanation >:)
CAN SOMEONE HELP A DUMMY OUT PLZ
Find the value of h for the triangle.
A14
h=1
No links plz :)
Thanks:)!!
Answers
9514 1404 393
Answer:
5.3
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh . . . . where b is the base length and h is the height.
The figure gives an area and shows b=h, so we have ...
14 ft² = 1/2(h)(h)
28 ft² = h² . . . . . . . . . multiply by 2
h = √28 ft ≈ 5.3 ft . . . . . take the square root
Based on the figure below, what is the value of x? (look at picture \/)
Answers
Answer:
X = 9
Step-by-step explanation:
90 - ( 30 + 15 ) = 45
45/5 = 9
What is the solution to the equation?
Answers
Answer:
3/4
Step-by-step explanation:
2/3a=1/3+1/6
2/3a=3/6
a=1/2x3/2
a=3/4
Answer:
[tex]a = \frac{3}{4} [/tex]Step-by-step explanation:
[tex] \frac{2}{3} a - \frac{1}{6} + \frac{1}{3} [/tex][tex] \frac{2}{3} a = \frac{1}{3} + \frac{1}{6} [/tex][tex] \frac{2}{3} a = \frac{3}{6} [/tex][tex]a = \frac{3}{2} \times \frac{1}{2} [/tex][tex]a = \frac{3}{4} [/tex]Hope it is helpful....I need he answer pls answer fast answer don’t scam
Answers
Answer:
30 ft²
Step-by-step explanation:
Area of trapezium = 1/2 (a + b)h
a = 6 ft , b = 9 ft , h = 4 ft
Area = 1/2 (6 + 9) 4
= 30 ft²
Answer:
D
Step-by-step explanation:
State if the triangles in the pair are similar. If so, complete the similarity statement
Answers
Answer:
they similar
triangle SRQ - SBC
Answer:
similarity statement =RS/BS=QS/CS=RQ/BC OR,
triangle RSQ≅triangle BSC
Step-by-step explanation:
Can somebody help me
Answers
I want to know what 5/8 divided by 8/5 equals
Answers
Answer:
The answer is 0.390625
Plz help me well mark brainliest if correct....??
Answers
Answer:
Table B
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
4.123 km
Step-by-step explanation:
a squared = c sqaured - b squared
a squared = 9 sqaured - 8 squared
a squared = 81 - 64
a squared = 17
a = root 17
a = 4.123 km
Answer:
4.1 it is rounded to the nearest tenth already
(no links) Please Help!
Answers
Answer:
Part A: D Part B: B
Step-by-step explanation:
This question is so free
PLEASE HELP!!!!1!1!1! suppose one particular pyramid in egypt has a square base of side length 280 meters and a perpendicular height of 144 meters what is the surgace area of the pyramid?
Answers
Answer:
Pyramid Surface Area = .5 * Perim of Base * Slant Height
Slant Height^2 = 144^2 + 140^2
Slant Height^2 = 20,736 + 19,600
Slant Height^2 = 40,336
Slant Height = 200.8382433701
Surface Area = .5 * perim of base * slant height
Surface Area = .5 * 1,200 * 200.8382433701
Surface Area = 120,503 square meters
Source = www.1728.org/volpyrmd.com
Step-by-step explanation:
How many more barrels of gasoline then diesel were produced last year
Answers
Answer:
3,000,000
Step-by-step explanation:
I need help on this!
Study guide for exam
No links
The circle has the same question!
Answers
Answer:
60
Step-by-step explanation
20*3 becasuse it equlatrial
Estimate: 5+81.65
HELP
PLEASE
Answers
Answer: 5+81.65≈85
How to: Estimate.
Have a great day and stay safe !
Work out
4 3/5 - 2 2/5
Give your answer as a mixed number in its simplest form.
Answers
Answer:
2 1/5
Step-by-step explanation:
4 3/5 - 2 2/5
I like to make them vertical
4 3/5
- 2 2/5
-----------------
2 1/5
A large corporation sent out four groups of people to conduct observational studies on the average wait time at four different restaurants in its restaurant group. The restaurants have approximately the same ratings in terms of quality and popularity.
In their reports to the company board, each of the four groups described different methods used to conduct their studies, as shown in the table. Which group’s method will give the most accurate, unbiased results?
Answers
Answer:
It's midwest
Step-by-step explanation:
Midwest's groups will give the most accurate, unbiased results, and the correct option is B.
To solve this question, we analyze each sample, and find which of them will give the most accurate results.
Northeast: Only 3 hours a day, which can either have a very low or very high wait time, not being a correct representation, so there are bias factors.West Coast: One full day, which also can be a day with a lot of demand, leading to high wait time, or a day with low demand leading do low demand time, so there are also bias factors.South: Phone survey is not very accurate, people may not remember, for example.Midwest: Consider lots of periods over the course of the week, thus surveying both periods of low and of high demand, to get a good estimate for the average time, not having bias factors.Thus, the Midwest's groups will give the most accurate, unbiased results, and the correct option is B.
A similar example is given here: https://brainly.com/question/16609573
what is the solution to the system?
y = 5x
y = 2x - 9
Answers
the domain and range of the given set of points?
(0,8) (-5,-8) (9,1) (0,0) (-6-7)
Answers
Answer:
Domain: -6,-5,0,0,9
Range:-8,-7,0,1,8
Step-by-step explanation:
what is
1/3 x (15+6)
Answers
Answer:
First, you do 15+6 (because of the parentheses)
You get 21
then you have to do 1/3 times 21 and you get 7
Answer:
7
Step-by-step explanation:
Using BODMAS which stands for:
(Bracket, of, Division, Multiplication, Addition and Subtraction)
We first treat the bracket
(15+6)=21
We then treat the division
(but it is already reduced to its lowest terms therefore no need, but if you like you can reduce it to a decimal though)
[tex]\frac{1}{3}[/tex]
Then we move onto the multiplication which is the last part
[tex]\frac{1}{3}[/tex] ×21= [tex]\frac{21}{3}[/tex] =7
There is a sequence of four Engineering classes that a student must pass to finish her major. Each class depends primarily on material learned in the previous class. Consider a student who will maintain good standing in these classes. An experienced advisor predicts that, if the student earns an A in one of these classes, she has probability .6 of an A in the next class in the sequence, .3 of a B, and .1 of a C. If the student earns a B in one of these classes, she has probability .25 of an A in the next class in the sequence, .55 of a B, and .20 of a C. If the student earns a C in one of these classes, she has probability .05 of an A in the next class in the sequence, .40 of a B, and .55 of a C. a) Write out the Markov transition matrix for how this student is expected to do in the next class in sequence after taking one of the classes. b) Find the probability that if a student earns a
Answers
Answer:
[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]
Step-by-step explanation:
using the given data in the question
a) The Markov transition matrix
[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]
Note : Column 1 = A, column 2 = B, Column 3 = C
Row 1 = A, Row 2 = B and ROW 3 = C
b) Question is incomplete
The braking ability of two types of automobiles was compared. Random samples of 64 auto mobiles were tested for each type. The recorded measurement was the distance required to stop when the brakes were applied at 40 miles per hour. The computed sample means and variances were as follows:
y¯¯¯1=118,y¯¯¯2=109 s21=102,s22=87
. Do the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles? Give the attained significance level.
Answers
Answer:
The data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles
Step-by-step explanation:
Formulate the null and alternate hypothesis as
H0: u1= u2 against the claim Ha: u1≠ u2
The data given is
y`1=118, y`2=109 s21=102, s22=87
The test statistic used is t= y1`- y2`/ Sp√1/n1+ 1/n2
n1= n2= 64
And
Sp² = (n1-1) s12 + (n2-1) s22 / n1+n2-2
Sp² = 63*102+6*87/64+64-2
Sp² = 94.5
Sp= 9.7211
Putting the values in the test statistic
t= 118-108/9.7211√1/64+1/64
t= 5.237
Now finding the value of t at ∝=0.01 for two tailed test
t( 126,0.005)= ±2.6154
At alpha= 0.01 the null hypothesis is rejected.
Now finding the value of t at ∝=0.05 for two tailed test
t( 126,0.025)= ±1.979
Even at alpha= 0.05 the null hypothesis is rejected.
Also at alpha= 0.05 the null hypothesis is rejected because the critical value is ±1.657
Hence it is concluded that the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles
can anyone help me with this?
Answers
Answer:
x = 51
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Which means that 77 + 107 + 156 + 149 + x = 540
^ ( note that we just created an equation that we can
use to solve for x )
We then solve for x using that equation
77 + 107 + 156 + 149 + x = 540
step 1 combine like terms
77 + 107 + 156 + 149 = 489
we now have 489 + x = 540
step 2 subtract 489 from each side
489 - 489 cancels out
540 - 489 = 51
we're left with x = 51
Find the gradient of the line segment between the points (-2,3) and (-5,6)
Answers
Answer:
m = -1
Step-by-step explanation:
As we move from (-5, 6) to (-2, 3), x (the 'run') increases by 3 and y (the 'rise) decreases by 3. Hence the gradient, or slope, of this line segment is
m = rise / run = -3/3, or m = -1
I need help as soon as possible!! Please!!
Answers
Answer:
Option A, (x + 6, y - 4)
Hope this helps!
Answer:
1st option
Step-by-step explanation:
Consider the coordinates of R and R'
R (2, 6 ) and R' (8, 2 )
R → R' in the x- direction is + 6 ( 2 to 8 )
R → R' in the y- direction is - 4 ( 6 to 2 )
Then the translation rule is
(x, y ) → (x + 6, y - 4 )
Find the value of AB.
10
6
A
E
B
AB = [?]
Answers
Answer:
AB = 16
Step-by-step explanation:
The radius of the circle = 10
From the center of the circle to B = 10 (radius)
Since a right angle is formed at point E, we can apply Pythagorean theorem to find EB.
Thus:
EB² = 10² - 6²
EB² = 100 - 36
EB² = 64
EB = √64
EB = 8
EB = AE = 8
therefore,
AB = AE + EB = 8 + 8
AB = 16
Answer:ab=16
Step-by-step explanation:
Find the values of the variables. Then find the length of the sides.
Answers
Answer: X= 102
Step-by-step explanation: Hope it helps!!!!
13. Which of the following symbol stands for the margin of error?
A. E
B. Za/2
C.n
D.o
14. For a 95% confidence level, the confidence coefficient is ___?
A. 1.645
B. 1.96
C.2.33
D.2.585.
15.What do you call the value resulting from subtracting the margin of error from the sample mean?
A. point estimate B. interval estimate C. lower limit of the interval D. upper limit of the interval
For nos. 16-19
A survey on 200 HUMSS students of Bumasa Integrated High School shows that they read on an average of 15. 7 hour
per week. The margin of error is 2.2 hours at a 95% confidence level.
16. What is the sample mean?
A.200
B. 95
C. 15.7
D.2.2 8.
17. Which of the following values is the margin of error?
A.15.7
B. 2.2
C. 0.95 D. 0.05 9.
D.0.05 9.
Answers
Answer:
13. A
14. B
15. C
16. B
17. C
Step-by-step explanation:
if a line passing through (4,-p) and (-2,6)is parallel to 2y+3x= -3, find p.